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Finding the Third Proportional to 66,917 and 148,596

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Solution

The third proportional to 66,917 and 148,596 is: 329,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,917 : 148,596 = 148,596 : x
  2. Step 2: Convert to fraction form
    66,917/148,596 = 148,596/x
  3. Step 3: Cross multiply
    66,917x = 148,596 × 148,596
  4. Step 4: Simplify right side
    66,917x = 22,080,771,216
  5. Step 5: Solve for x
    x = 22,080,771,216/66,917
  6. Step 6: Final answer
    x = 329,972.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.